11853536800 has 144 divisors (see below), whose sum is σ = 33212374272. Its totient is φ = 4046745600.

The previous prime is 11853536771. The next prime is 11853536803. The reversal of 11853536800 is 863535811.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11853536803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345209 + ... + 1353991.

It is an arithmetic number, because the mean of its divisors is an integer number (230641488).

Almost surely, 2^11853536800 is an apocalyptic number.

11853536800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11853536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606187136).

11853536800 is an abundant number, since it is smaller than the sum of its proper divisors (21358837472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11853536800 is a wasteful number, since it uses less digits than its factorization.

11853536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9051 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 11853536800 in words is "eleven billion, eight hundred fifty-three million, five hundred thirty-six thousand, eight hundred".